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How do you do cross products?
You need to know that the cross product of two vectors is a vector perpendicular to both vectors. It is defined only in 3 space. The formula to find the cross product of vector a (vector a=[a1,a2,a3]) and vector b (vector b=[b1,b2,b3]) is: vector a x vector b = [a2b3-a3b2,a3b1-a1b3,a1b2-a2b1]
What is the differentence between calculus and vector calculus?
Hence the reason for why it is called Vector Calculus, Vector Calc. is simply an expansion in the calculus subject are in math. It deals with Taylor's Formula (in calc 2 you learn the taylor polynomial and the taylor series), theorems from Green, Gauss, and Stokes, and much more.
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
What is relationship between vector space and vector subspace?
Vector spaces can be formed of vector subspaces.
What is the formula for finding the direction for a vector?
To find the direction of a vector, you can use the formula: θ = tan^(-1) (y/x), where θ is the angle of the vector with the positive x-axis, and (x, y) are the components of the vector along the x and y axes, respectively.
What is the length of a vector?
The length of a vector is the magnitude of the vector, which can be calculated using the Pythagorean theorem in a 2D vector (x, y) as sqrt(x^2 + y^2), or the magnitude formula for higher dimensions. It represents the distance from the origin to the point defined by the vector.
What is the formula used to equate torque?
Torque can be calculated using the formula: Torque = Force x Distance. Where force is the amount of force applied and distance is the distance between the point of force application and the axis of rotation.
What is formula of momentum?
The formula for momentum is: momentum = mass x velocity. Momentum is a vector quantity and its direction is the same as the direction of the velocity of the object.
How do you do cross products?
You need to know that the cross product of two vectors is a vector perpendicular to both vectors. It is defined only in 3 space. The formula to find the cross product of vector a (vector a=[a1,a2,a3]) and vector b (vector b=[b1,b2,b3]) is: vector a x vector b = [a2b3-a3b2,a3b1-a1b3,a1b2-a2b1]
What is the formula for Net Force?
The net force on an object is simply the vector sum of all forces that act on an object. For more information, do some reading about "vector sum".
What is the magnitude of the following vector 3i 4j?
The magnitude of the vector 3i + 4j is given by the formula |v| = sqrt((3^2) + (4^2)) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the magnitude of the vector is 5.
What is the algebraic formula of the resultant of 3 forces acting upon a point?
Resultant Force = (Force1) + (Force2) + (Force3)where each term in the formula is a Vector.
What is the formula for uniform velocity?
The formula for uniform velocity is: Velocity = Distance / Time.
Formula fo linear velocity?
The formula for velocity is ds/dt where s (which is a function of time) is the position vector of the object at time t, and d/dt represents the derivative with regard to time.The formula for average velocity is (final position vector - starting position vector)/time.
Is velocity a scalar quantity or vector quantity?
Velocity is a vector.Its magnitude is called 'speed'.
Formula to calculate magnitude of the resultant vector?
To calculate the magnitude of the resultant vector, you can use the Pythagorean theorem. Square the x-component of the vector, square the y-component of the vector, and sum them together. Finally, take the square root of the resulting sum. The formula is: |R| = sqrt((Rx^2) + (Ry^2)).
